Hello,
Sorry I can't be of help. Only names recorded in Lamberton are Brown, Home, Johnston, Lee, Logan, Menon, Midlmis, Miller, Nisbet, Ord, Paterson, Purdie, Runciman, Trotter, Windrham, Wood.
Unsure if the following contacts would be helpful. I have contacted East Lothian and found them very helpful. Perhaps the Scottish Society will be similar.
http://www.eastlothianantiquarians.org.uk/site/http://www.socantscot.org/Berwickshire has a Naturalist Club too.
Perhaps you know this already. On ScotlandsPeople there is a testament for John Renton, dated 21/01/1653 of Lamertoune, Lauder Commissary Court, 3 pages, Ref CC15/5/3.
Also, have you seen the book, History of Coldingham Priory by Alexander Allan Carr (online)? Perhaps that's where you got some of your information.
Mags